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Cylindrically symmetric current distribution: Magnetic field in all space

a. An infinite cyclindrically symmetric current distribution has the form
[tex]\vec J (r, \phi, z) = J_0 r^2/R^2 \ \ \ \vec\hat \phi[/tex] for [tex]R<r<2R[/tex]. Outside the interval, the current is 0. What is the field everywhere in space?

b. An infinite cyclindrically symmetric current distribution has the form
[tex]\vec J (r, \phi, z) = J_0 r^2/R^2 \ \ \ \vec \hat z [/tex] for [tex]R<r<2R[/tex]. Outside the interval, the current is 0. What is the field everywhere in space?